|
Question 261282: I made a mistake in posting my original problem sorry..here is the correct one
Given p is true, q is true, and r is false. find the truth value of the statement: ~p -> (q v ~ r)
Show step by step work so I can use as example for other problems...
Thanks in advance soooo much..
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Some things to remember:
1) ~p is the opposite of p. So if p is true, then ~p is false (or vice versa).
2) p v q is true when either p or q is true (or both are true)
3) p -> q is only false when p is true, but q is false. Otherwise, it is true.
~p -> (q v ~ r) ... Start with the given compound statement
~T -> (T v ~ F) ... Plug in T for p (true), T for q (true), and F for r (false)
F -> (T v T) ... Evaluate ~T to get F. Evaluate ~F to get T
F -> T ... Evaluate T v T to get T
T ... Evaluate F -> T to get T
So ~p -> (q v ~ r) is true when p is true, q is true, and r is false
|
|
|
| |
